A preliminary survey of the machine parameters required to achieve a luminosity of 1034cm−2s−1at the &Ugr;(4S) resonance in a linac‐on‐ring collider has been made. The low emittance electron source and recirculating superconducting linac based on LEP cavities appears to be within the scope of present technologies. The high‐current, low‐emittance positron storage ring with its low‐beta collision point can be broadly specified but a more detailed feasibility study is needed. Simulation of the beam‐beam effect indicates that the beam‐beam limit may be higher than in equivalent ring‐on‐ring colliders. The heavily disrupted electron beam poses no obvious problem.